Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 55-67
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In this paper, we establish the composition lemma (diamond lemma) for right-symmetric algebras. As an application, we give a Gröbner–Shirshov basis for the universal enveloping right-symmetric algebra of a Lie algebra.
@article{FPM_2008_14_8_a1,
author = {L. A. Bokut and Yuqun Chen and Yu Li},
title = {Gr\"obner--Shirshov bases for {Vinberg--Koszul--Gerstenhaber} right-symmetric algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {55--67},
publisher = {mathdoc},
volume = {14},
number = {8},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a1/}
}
TY - JOUR AU - L. A. Bokut AU - Yuqun Chen AU - Yu Li TI - Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2008 SP - 55 EP - 67 VL - 14 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a1/ LA - ru ID - FPM_2008_14_8_a1 ER -
%0 Journal Article %A L. A. Bokut %A Yuqun Chen %A Yu Li %T Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras %J Fundamentalʹnaâ i prikladnaâ matematika %D 2008 %P 55-67 %V 14 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a1/ %G ru %F FPM_2008_14_8_a1
L. A. Bokut; Yuqun Chen; Yu Li. Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 55-67. http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a1/